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IB Mathematics: Applications and Interpretation SL · 12.6: Exponents & Logarithms · 12.6.1

Laws of exponents Problem set A Answers

Skills

  1. \(54x\)

    1. (a) \(\frac{1}{32}\)
    2. (b) \(\frac{16}{9}\)
  2. \(\frac{5}{2}x^{7}\)

    1. (a) \(\frac{1}{64}\)
    2. (b) \(\frac{125}{8}\)
    3. (c) \(\frac{4}{3}\)
    1. (a) \(4.72\times10^{-5}\)
    2. (b) \(3.6\times10^{-2}\)
    3. (c) \(5.72\times10^{9}\)
    4. (d) \(6\times10^{5}\)

In context

    1. (a) \(500\) lux
    2. (b) \(5\) lux
    1. (a) \(48\)
    2. (b) \(\frac{3}{8}\)
    1. (a) \(6.04\times10^{24}\) kg
    2. (b) 81.2

Stretch

  1. \(12x^{3}\)

jmaths.xyz · AI SL · 12.6.1 Laws of exponents: negative and fractional indices